Journal of Neutrosophic and Fuzzy Systems

Journal DOI

https://doi.org/10.54216/JNFS

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2771-6449ISSN (Online) 2771-6430ISSN (Print)

A Short Note On The Solutions Of Fermat's Diohantine Equation In Some Neutrosophic Rings

Katy D. Ahmad , Mikail Bal , Malath Aswad

This paper is dedicated to study the concept of Fermat's triples in rings. Also, it determines the possible Fermat's triples in the neutrosophic ring of integers Z(I). Also, it discussed these triples in several finite commutative rings such as Zn.  

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Doi: https://doi.org/10.54216/JNFS.010201

Vol. 1 Issue. 2 PP. 55-60, (2021)

New Operators Using Neutrosophic δ-Open Set

A. Vadivel , C. John Sundar

In this paper, we introduce some new operators called neutrosophic δ frontier, neutrosophic δ border and neutrosophic δ exterior with the help of neutrosophic δ-open sets in neutrosophic topological space. Also, we discuss the important properties of them and the relations between them.

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Doi: https://doi.org/10.54216/JNFS.010202

Vol. 1 Issue. 2 PP. 61-70, (2021)

On Imperfect Duplets In Some Refined Neutrosophic Rings

Katy D. Ahmad , Mikail Bal , Arwa A. Hajjari , Rozina Ali

This paper solves the imperfect duplets problem in refined neutrosophic rings, where it presents the necessary and sufficient conditions for a pair  to be an imperfect duplet in any refined neutrosophic ring. Also, this work introduces a full description of the structure of imperfect duplets in numerical refined neutrosophic rings such as refined neutrosophic ring of integers  , refined neutrosophic ring of rationales , and refined neutrosophic ring or real numbers. 

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Doi: https://doi.org/10.54216/JNFS.010203

Vol. 1 Issue. 2 PP. 71-79, (2021)

On The Symbolic Turiyam Rings

Prem Kumar Singh , Katy D. Ahmad , Mikail Bal , Malath Aswad

In this paper, we define for the first time the concept of symbolic Turiyam ring as a direct application of Turiyam symbolic set and as a new generalization of neutrosophic rings. Also, we study many of essential properties and related concepts of these rings such as AH-ideals and subrings.   On the other hand, we illustrate many examples to clarify the validity of our work.

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Doi: https://doi.org/10.54216/JNFS.010204

Vol. 1 Issue. 2 PP. 80-88, (2021)

Novel Applications Of Neutrosophic AH-Isometries To The Group Of Units Problem In Neutrosophic Rings and Refined Neutrosophic Rings

Katy D. Ahmad , Mikail Bal , Arwa A. Hajjari , Rozina Ali

The Objective of this paper is to study the group of units problem in two different kinds of neutrosophic structures (neutrosophic rings and refined neutrosophic rings), where we use the concept of AH-isometry to classify neutrosophic rings\refined neutrosophic rings as direct products of classical rings with itself. Also, this classification will lead to the algebraic structure of the corresponding group of units.

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Doi: https://doi.org/10.54216/JNFS.010205

Vol. 1 Issue. 2 PP. 89-98, (2021)

Decision Making Model for Strategy Choice in Higher Education Under Neutrosophic Environment

Ahmed M. AbdelMouty

The importance of studying the relationships between colleges, businesses, and governments has grown as a result of the recent explosion of technical advancements. The potential for national economic growth is enhanced by the dissemination of new information discovered via research. When it comes to the generation of new information that can be used by established economies, universities play a crucial role. So, in this study we proposed a framework for select best strategy in higher education. This process contains many conflicting criteria, so the concept of multi-criteria decision making (MCDM) is used. The MCDM is integrated with the triangular neutrosophic sets to overcome the vague information. The COCOSO technique is proposed to rank the alternatives. Higher education officials, including government bureaucrats and academic administrators, may put the recommended approach to use.

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Doi: https://doi.org/10.54216/JNFS.010206

Vol. 1 Issue. 2 PP. 99-106, (2021)